Long division might be the single most-hated topic in elementary math. It looks intimidating, it has multiple steps that don't obviously connect, and one wrong move at any point invalidates the entire problem. But long division isn't actually hard — it's just a sequence of four small steps repeated until you run out of digits. Once your child sees that, the fear melts.

Here's how to teach it.

The prerequisite check

Before you teach long division, your child must be fluent with:

Multiplication facts through 12×12 — sub-three-second recall
Subtraction with borrowing — including across zeros (700 − 348)
Place value — they should be able to say what digit is in the hundreds place of 4,572

If any of those is shaky, fix it first. Long division forces a kid to do all three skills simultaneously, and weakness in any one gets amplified into chaos.

Need to brush up? Try our 4th grade division facts practice for the prerequisite recall, and our 2-digit subtraction with regrouping practice if borrowing is the issue.

The Dad-Mom-Sister-Brother trick

The four steps of long division are: Divide, Multiply, Subtract, Bring down. Most teachers use the mnemonic "Dad, Mom, Sister, Brother" to help kids remember the order. (Some use "Does McDonald's Sell Burgers?" — same idea.)

You repeat those four steps once for every digit in the dividend. That's the whole game.

Walk through one problem out loud

Let's do 728 ÷ 4. Say every step out loud the first time:

Divide. "How many times does 4 go into 7? One time." Write 1 above the 7.
Multiply. "1 times 4 is 4." Write 4 below the 7.
Subtract. "7 minus 4 is 3." Write 3 below.
Bring down. "Bring down the 2. Now we have 32."

Now repeat:

Divide. "How many times does 4 go into 32? Eight times." Write 8 above the 2.
Multiply. "8 times 4 is 32."
Subtract. "32 minus 32 is 0."
Bring down. "Bring down the 8. We have 8."

And one more time:

Divide. "How many times does 4 go into 8? Two times." Write 2 above the 8.
Multiply. "2 times 4 is 8."
Subtract. "8 minus 8 is 0. We're done."

Answer: 182.

The key is the verbal narration. Have your child say every step out loud for the first ten or twenty problems. The internal voice eventually takes over, but it has to start as an external one.

Common pitfalls (and fixes)

Pitfall 1: Skipping the multiply or subtract step. Kids in a hurry try to "see" the answer and skip the work. The fix: insist on writing every step until they have 50+ problems done correctly.

Pitfall 2: Misaligning columns. Numbers drift left or right and end up in the wrong place value column. The fix: graph paper. One digit per square. This single change fixes 80% of long division errors.

Pitfall 3: Multiplying wrong. Their division is fine but their multiplication facts are shaky, so they get wrong subtotals. The fix: go back to multiplication drills until facts are automatic.

Pitfall 4: Stuck on the first step. "How many times does 4 go into 7?" stumps them. The fix: have them write out the multiples of the divisor on scratch paper. For 4: 4, 8, 12, 16, 20, 24, 28, 32, 36. Now finding "the biggest one that fits in 7" is just looking at a list.

Remainders

Once division-without-remainders is solid, introduce remainders. The four steps are identical — you just stop bringing down digits eventually and what's left over is the remainder. 17 ÷ 5 = 3 remainder 2.

Decimals come next, but save those for after remainders feel routine.

How much practice does it take?

Most fifth graders need about 100 long division problems before it feels comfortable. That's about three weeks at five problems a day. Don't binge — you want the daily reps to build the procedural memory, not one frantic Saturday session followed by forgetting half of it by Wednesday.

Our long division practice worksheet is a good 20-problem starter, and the grade 5 division practice page gives unlimited problems with instant feedback.

When to introduce two-digit divisors

After single-digit divisors feel automatic — usually six to eight weeks of consistent practice — move on to two-digit divisors (e.g., 1,547 ÷ 23). The arithmetic is harder, but the procedure is identical. By that point your child has the muscle memory, and adding bigger numbers feels like a small step rather than a leap.

Long division is the kind of topic that feels impossible until it suddenly clicks. Your job as a parent isn't to make the topic easy — it's to keep your kid steady, consistent, and patient until that click happens.

How to Explain Long Division to Kids (So It Actually Makes Sense)